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Finding the Third Proportional to 37,057.50 and 81,495.28

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Solution

The third proportional to 37,057.50 and 81,495.28 is: 179,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,057.50 : 81,495.28 = 81,495.28 : x
  2. Step 2: Convert to fraction form
    37,057.50/81,495.28 = 81,495.28/x
  3. Step 3: Cross multiply
    37,057.50x = 81,495.28 × 81,495.28
  4. Step 4: Simplify right side
    37,057.50x = 6,641,480,866.02
  5. Step 5: Solve for x
    x = 6,641,480,866.02/37,057.50
  6. Step 6: Final answer
    x = 179,220.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.